Topic 4 Review

Front

What does it mean if a system of linear equations has an infinite number of solutions?

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

What is the graphical representation of a system of equations with one solution?

Back

The two lines intersect at a single point.

Front

What does it mean if two lines are parallel in the context of linear equations?

Back

The system has no solution because the lines never intersect.

Front

What is the solution to the system of equations: -4x - 4y = 0 and 4x + 4y = 0?

Back

Infinite number of solutions.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations; if both are true, it is a solution.

Front

What is the solution to the system of equations: 2x + 3y = 6 and x - y = 1?

Back

(2, 0).

Front

What does the inequality y > -2 represent on a graph?

Back

The region above the line y = -2, not including the line itself.

Front

What is the solution to the system of equations: 3x + 2y = 12 and x - y = 1?

Back

(2, 3).

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and do not intersect.

Front

What is the graphical representation of the inequality x < -2?

Back

The region to the left of the vertical line x = -2, not including the line.